4. For k = 1, 8, 12, define 1 Ak = (1/2 1 2/3-10-k 1/3+2.0 10...
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4. For k = 1, 8, 12, define 1 Ak = (1/2 1 2/3-10-k 1/3+2.0 10 2/3 + 10-k 1/3-2.0 * 10-k Ck = A Ak (a) Use matlab or python to compute the singular values of Ak. Call them for i Oi,k 1 and i = 2, from large to small. = (b) Compute Ck and its eigenvalues. Call them i,k for i = 1 and i = 2, from large to small. (c) By mathematical definition, we should have ik = i,k. How do they differ in your computations? 4. For k = 1, 8, 12, define 1 Ak = (1/2 1 2/3-10-k 1/3+2.0 10 2/3 + 10-k 1/3-2.0 * 10-k Ck = A Ak (a) Use matlab or python to compute the singular values of Ak. Call them for i Oi,k 1 and i = 2, from large to small. = (b) Compute Ck and its eigenvalues. Call them i,k for i = 1 and i = 2, from large to small. (c) By mathematical definition, we should have ik = i,k. How do they differ in your computations?
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